Box-Counting Dimension of the Cantor Set

From the realtion N((1/3)n) = 2n we see
db = limn→∞Log(N((1/3)n)) / Log(1/((1/3)n))
= limn→∞Log(2n) / Log(3n)
= limn→∞(nLog(2))/(nLog(3))
= Log(2)/Log(3) ≈ 0.62989

Return to Box-Counting Dimension of the Cantor Set.